The Abrams' engine exhaust is about 930°F and the exhaust is baffled to disrupt it's signature.
The M1's range is just over 250 miles, which is exceptional, considering it's weight.
As for variances in performance related to different fuels, there doesn't seem to be much of a difference (speed, range, power) between the fuel consumed.
There was a US Army study on the performance of the turbine using different fuels: jet fuels, diesel and kerosene fuels, gasoline of various grades and they even tested it with "Bunker C" oil.
For those not in the know, "Bunker C" oil is a viscous, tar-like oil that needs to be heated in order for it to flow.
While it might not be practical on the battlefield (well, maybe in a battleship, but not a tank), the test engine operated well within parameters with it.